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Finding the Fourth Proportional to 404,461.40, 606,821.70 and 271,491.80

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Solution

The fourth proportional to 404,461.40, 606,821.70 and 271,491.80 is: 407,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,461.40 : 606,821.70 = 271,491.80 : x
  2. Step 2: Convert to fraction form
    404,461.40/606,821.70 = 271,491.80/x
  3. Step 3: Cross multiply
    404,461.40x = 606,821.70 × 271,491.80
  4. Step 4: Simplify right side
    404,461.40x = 164,747,115,612.06
  5. Step 5: Solve for x
    x = 164,747,115,612.06/404,461.40
  6. Step 6: Final answer
    x = 407,324.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.